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Photon-fusion reactions from the chiral Lagrangian with dynamical light vector mesons

  • I. V. Danilkin
  • M. F. M. LutzEmail author
  • S. Leupold
  • C. Terschlüsen
Regular Article - Theoretical Physics

Abstract

We study the reactions γγπ 0 π 0, π + π , \(K^{0}\bar{K}^{0}\), K + K , ηη and π 0 η based on a chiral Lagrangian with dynamical light vector mesons as formulated within the hadrogenesis conjecture. At present our chiral Lagrangian contains five unknown parameters that are relevant for the photon-fusion reactions. They parameterize the strength of interaction terms involving two vector meson fields. These parameters are fitted to photon-fusion data γγπ 0 π 0, π + π ,π 0 η and to the decay ηπ 0 γγ. In order to derive gauge invariant reaction amplitudes in the resonance region constraints from maximal analyticity and exact coupled-channel unitarity are used. Our results are in good agreement with the existing experimental data from threshold up to about 0.9 GeV for the two-pion final states. The a 0 meson in the π 0 η channel is dynamically generated and an accurate reproduction of the γγπ 0 η data is achieved up to 1.2 GeV. Based on our parameter sets we predict the γγ\(K^{0}\bar{K}^{0}\), K + K , ηη cross sections.

Keywords

Meson production Chiral Lagrangians Vector-meson dominance Partial-wave analysis Dispersion relations 

Notes

Acknowledgements

The work of CT and SL has been supported by the European Community Research Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics3, Grant Agreement No. 283286) under the Seventh Framework Programme of the EU.

References

  1. 1.
    M.R. Pennington, T. Mori, S. Uehara, Y. Watanabe, Eur. Phys. J. C 56, 1 (2008) ADSCrossRefGoogle Scholar
  2. 2.
    J.A. Oller, L. Roca, Eur. Phys. J. A 37, 15 (2008) ADSCrossRefGoogle Scholar
  3. 3.
    R. Garcia-Martin, B. Moussallam, Eur. Phys. J. C 70, 155 (2010) ADSCrossRefGoogle Scholar
  4. 4.
    M. Hoferichter, D.R. Phillips, C. Schat, Eur. Phys. J. C 71, 1743 (2011) ADSCrossRefGoogle Scholar
  5. 5.
    Y. Mao, X.G. Wang, O. Zhang, H. Zheng, Z.Y. Zhou, Phys. Rev. D 79, 116008 (2009) ADSCrossRefGoogle Scholar
  6. 6.
    J. Gasser, M.A. Ivanov, M.E. Sainio, Nucl. Phys. B 745, 84 (2006) ADSCrossRefGoogle Scholar
  7. 7.
    J. Gasser, M.A. Ivanov, M.E. Sainio, Nucl. Phys. B 728, 31 (2005) ADSCrossRefGoogle Scholar
  8. 8.
    J. Bijnens, F. Cornet, Nucl. Phys. B 296, 557 (1988) ADSCrossRefGoogle Scholar
  9. 9.
    J.F. Donoghue, B.R. Holstein, Y.C. Lin, Phys. Rev. D 37, 2423 (1988) ADSCrossRefGoogle Scholar
  10. 10.
    A. Gasparyan, M.F.M. Lutz, Nucl. Phys. A 848, 126 (2010) ADSCrossRefGoogle Scholar
  11. 11.
    I.V. Danilkin, A.M. Gasparyan, M.F.M. Lutz, Phys. Lett. B 697, 147 (2011) ADSCrossRefGoogle Scholar
  12. 12.
    I.V. Danilkin, L.I.R. Gil, M.F.M. Lutz, Phys. Lett. B 703, 504 (2011) ADSCrossRefGoogle Scholar
  13. 13.
    A.M. Gasparyan, M.F.M. Lutz, B. Pasquini, Nucl. Phys. A 866, 79 (2011) ADSCrossRefGoogle Scholar
  14. 14.
    A. Gasparyan, M. Lutz, E. Epelbaum. arXiv:1212.3057 [hep-ph]
  15. 15.
    M.F.M. Lutz, E.E. Kolomeitsev, Found. Phys. 31, 1671 (2001) CrossRefGoogle Scholar
  16. 16.
    M.F.M. Lutz, E.E. Kolomeitsev, Nucl. Phys. A 730, 392 (2004) ADSCrossRefGoogle Scholar
  17. 17.
    M.F.M. Lutz, E.E. Kolomeitsev, C.L. Korpa, Prog. Theor. Phys. Suppl. 156, 51 (2004) ADSCrossRefGoogle Scholar
  18. 18.
    M.F.M. Lutz, E.E. Kolomeitsev, Nucl. Phys. A 755, 29 (2005) ADSCrossRefGoogle Scholar
  19. 19.
    M.F.M. Lutz, M. Soyeur, Nucl. Phys. A 813, 14 (2008) ADSCrossRefGoogle Scholar
  20. 20.
    M.F.M. Lutz, S. Leupold, Nucl. Phys. A 813, 96 (2008) ADSCrossRefGoogle Scholar
  21. 21.
    C. Terschlüsen, S. Leupold, M.F.M. Lutz. arXiv:1204.4125 [hep-ph]
  22. 22.
    G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989) ADSCrossRefGoogle Scholar
  23. 23.
    B. Kubis, U.G. Meissner, Nucl. Phys. A 679, 698 (2001) ADSCrossRefGoogle Scholar
  24. 24.
    J.A. Oller, E. Oset, Nucl. Phys. A 629, 739 (1998) ADSCrossRefGoogle Scholar
  25. 25.
    M.F.M. Lutz, I. Vidana, Eur. Phys. J. A 48, 124 (2012) ADSCrossRefGoogle Scholar
  26. 26.
    J. Boyer et al., Phys. Rev. D 42, 1350 (1990) ADSCrossRefGoogle Scholar
  27. 27.
    H. Behrend et al. (CELLO Collaboration), Z. Phys. C 56, 381 (1992) ADSCrossRefGoogle Scholar
  28. 28.
    H. Marsiske et al. (Crystal Ball Collaboration), Phys. Rev. D 41, 3324 (1990) ADSCrossRefGoogle Scholar
  29. 29.
    D. Antreasyan et al. (Crystal Ball Collaboration), Phys. Rev. D 33, 1847 (1986) ADSCrossRefGoogle Scholar
  30. 30.
    H. Albrecht et al. (ARGUS Collaboration), Z. Phys. C 48, 183 (1990) CrossRefGoogle Scholar
  31. 31.
    H.J. Behrend et al. (CELLO Collaboration), Z. Phys. C 43, 91 (1989) ADSCrossRefGoogle Scholar
  32. 32.
    M. Althoff et al. (TASSO Collaboration), Z. Phys. C 29, 189 (1985) ADSCrossRefGoogle Scholar
  33. 33.
    S. Uehara et al. (Belle Collaboration), Phys. Rev. D 79, 052009 (2009) ADSCrossRefGoogle Scholar
  34. 34.
    T. Mori et al. (Belle Collaboration), J. Phys. Soc. Jpn. 76, 074102 (2007) ADSCrossRefGoogle Scholar
  35. 35.
    S. Uehara et al. (Belle Collaboration), Phys. Rev. D 80, 032001 (2009) ADSCrossRefGoogle Scholar
  36. 36.
    S. Uehara et al. (Belle Collaboration), Phys. Rev. D 82, 114031 (2010) ADSCrossRefGoogle Scholar
  37. 37.
    S. Prakhov, eConf C070910, 159 (2007). http://www.slac.stanford.edu/econf/C070910/PDF/159.pdf
  38. 38.
    S. Prakhov et al., Phys. Rev. C 78, 015206 (2008) ADSCrossRefGoogle Scholar
  39. 39.
    M. Unverzagt (Crystal Ball at MAMI Collaboration), Nucl. Phys. B, Proc. Suppl. 198, 174 (2010) ADSCrossRefGoogle Scholar
  40. 40.
    S. Leupold, M.F.M. Lutz, Eur. Phys. J. A 39, 205 (2009) ADSCrossRefGoogle Scholar
  41. 41.
    C. Terschlüsen, S. Leupold, Phys. Lett. B 691, 191 (2010) ADSCrossRefGoogle Scholar
  42. 42.
    V.B. Berestetskii, E. Lifshitz, L.P. Pitaevskii, Quantum Electrodynamics (Pergamon, Elmsford, 1982) Google Scholar
  43. 43.
    D. Varshalovich, A. Moskaev, V. Khersonskii, Qunatum Theory of Angular Momentum (World Scientific, Singapore, 1988) Google Scholar
  44. 44.
    S. Mandelstam, Phys. Rev. 112, 1344 (1958) MathSciNetADSCrossRefGoogle Scholar
  45. 45.
    S. Mandelstam, Phys. Rev. 115, 1741 (1959) MathSciNetADSCrossRefGoogle Scholar
  46. 46.
    A. Martin, Nuovo Cimento A 42, 930 (1965) ADSCrossRefGoogle Scholar
  47. 47.
    A. Martin, Nuovo Cimento A 44, 1219 (1966) ADSCrossRefGoogle Scholar
  48. 48.
    S. Roy, Phys. Lett. B 36, 353 (1971). doi: 10.1016/0370-2693(71)90724-6 ADSGoogle Scholar
  49. 49.
    B. Ananthanarayan, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Rep. 353, 207 (2001). doi: 10.1016/S0370-1573(01)00009-6 ADSzbMATHCrossRefGoogle Scholar
  50. 50.
    P. Buettiker, S. Descotes-Genon, B. Moussallam, Eur. Phys. J. C 33, 409 (2004) ADSCrossRefGoogle Scholar
  51. 51.
    R. Garcia-Martin, R. Kaminski, J. Pelaez, J. Ruiz de Elvira, Phys. Rev. Lett. 107, 072001 (2011) ADSCrossRefGoogle Scholar
  52. 52.
    B. Moussallam, Eur. Phys. J. C 71, 1814 (2011) ADSCrossRefGoogle Scholar
  53. 53.
    I.V. Danilkin, M.F.M. Lutz. arXiv:1208.2568 [hep-ph]
  54. 54.
    G.F. Chew, S. Mandelstam, Phys. Rev. 119, 467 (1960) MathSciNetADSzbMATHCrossRefGoogle Scholar
  55. 55.
    K. Nakamura et al., J. Phys. G 37, 075021 (2010) ADSCrossRefGoogle Scholar
  56. 56.
    L. Ametller, J. Bijnens, A. Bramon, F. Cornet, Phys. Lett. B 276, 185 (1992) ADSCrossRefGoogle Scholar
  57. 57.
    E. Oset, J.R. Pelaez, L. Roca, Phys. Rev. D 67, 073013 (2003) ADSCrossRefGoogle Scholar
  58. 58.
    E. Oset, J.R. Pelaez, L. Roca, Phys. Rev. D 77, 073001 (2008) ADSCrossRefGoogle Scholar
  59. 59.
    K. Lalwani, Measurement of the branching ratio of a rare decay ηπ 0 γγ with WASA-at-COSY. Ph.D. thesis, Department of Physics, Indian Institute of Technology, Bombay, 2010 Google Scholar
  60. 60.
    J.A. Oller, E. Oset, Nucl. Phys. A 620, 438 (1997) ADSCrossRefGoogle Scholar
  61. 61.
    M. Doring, U.G. Meissner, E. Oset, A. Rusetsky, Eur. Phys. J. A 47, 139 (2011) ADSCrossRefGoogle Scholar
  62. 62.
    A. Gomez Nicola, J.R. Pelaez, Phys. Rev. D 65, 054009 (2002) ADSCrossRefGoogle Scholar
  63. 63.
    N.N. Achasov, G.N. Shestakov, Phys. Usp. 54, 799 (2011) ADSCrossRefGoogle Scholar
  64. 64.
    C.H. Lee, H. Yamagishi, I. Zahed, Nucl. Phys. A 653, 185 (1999) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • I. V. Danilkin
    • 1
    • 3
  • M. F. M. Lutz
    • 1
    Email author
  • S. Leupold
    • 2
  • C. Terschlüsen
    • 2
  1. 1.GSI Helmholtzzentrum für Schwerionenforschung GmbHDarmstadtGermany
  2. 2.Institutionen för Fysik och AstronomiUppsala UniversitetUppsalaSweden
  3. 3.SSC RF ITEPMoscowRussia

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